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CBSE Class 12 Math 2022 (Term II) Delhi Set 1 Solved Paper

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Question : 8 of 14
Marks: +1, -0
(a) If a⃗\vec{a} and b⃗\vec{b} are two vectors such that ∣a⃗+b⃗∣=∣b⃗∣|\vec{a}+\vec{b}|=|\vec{b}|, then prove that (a⃗+2b⃗)(\vec{a}+2\vec{b}) is perpendicular to a⃗\vec{a}.
OR
(b) If a⃗\vec{a} and b⃗\vec{b} are unit vectors and θ\theta is the angle between them, then prove that sin⁡    θ2=  12∣a⃗−b⃗∣\sin \;\; \frac{\theta}{2} = \;\frac{1}{2}|\vec{a}-\vec{b}|
Solution:     👈: Video Solution
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